{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Objective\n",
    "* 20181230: \n",
    "    * Predict stock price in next day using simple moving average\n",
    "    * Given prices for the last N days, we do prediction for day N+1\n",
    "* 20190121 - Diff from StockPricePrediction_v3_mov_avg.ipynb:\n",
    "    * Here we use last value to do prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import math\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import time\n",
    "\n",
    "from datetime import date, datetime, time, timedelta\n",
    "from matplotlib import pyplot as plt\n",
    "from pylab import rcParams\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from tqdm import tqdm_notebook\n",
    "\n",
    "#### Input params ##################\n",
    "stk_path = \"./data/VTI.csv\"\n",
    "test_size = 0.2                 # proportion of dataset to be used as test set\n",
    "cv_size = 0.2                   # proportion of dataset to be used as cross-validation set\n",
    "Nmax = 2                       # for feature at day t, we use lags from t-1, t-2, ..., t-N as features\n",
    "                                # Nmax is the maximum N we are going to test\n",
    "fontsize = 14\n",
    "ticklabelsize = 14\n",
    "####################################"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Common functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_preds_mov_avg(df, target_col, N, pred_min, offset):\n",
    "    \"\"\"\n",
    "    Given a dataframe, get prediction at timestep t using values from t-1, t-2, ..., t-N.\n",
    "    Using simple moving average.\n",
    "    Inputs\n",
    "        df         : dataframe with the values you want to predict. Can be of any length.\n",
    "        target_col : name of the column you want to predict e.g. 'adj_close'\n",
    "        N          : get prediction at timestep t using values from t-1, t-2, ..., t-N\n",
    "        pred_min   : all predictions should be >= pred_min\n",
    "        offset     : for df we only do predictions for df[offset:]. e.g. offset can be size of training set\n",
    "    Outputs\n",
    "        pred_list  : list. The predictions for target_col. np.array of length len(df)-offset.\n",
    "    \"\"\"\n",
    "    pred_list = df[target_col].rolling(window = N, min_periods=1).mean() # len(pred_list) = len(df)\n",
    "    \n",
    "    # Add one timestep to the predictions\n",
    "    pred_list = np.concatenate((np.array([np.nan]), np.array(pred_list[:-1])))\n",
    "    \n",
    "    # If the values are < pred_min, set it to be pred_min\n",
    "    pred_list = np.array(pred_list)\n",
    "    pred_list[pred_list < pred_min] = pred_min\n",
    "    \n",
    "    return pred_list[offset:]\n",
    "\n",
    "def get_mape(y_true, y_pred): \n",
    "    \"\"\"\n",
    "    Compute mean absolute percentage error (MAPE)\n",
    "    \"\"\"\n",
    "    y_true, y_pred = np.array(y_true), np.array(y_pred)\n",
    "    return np.mean(np.abs((y_true - y_pred) / y_true)) * 100\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>volume</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2015-11-25</td>\n",
       "      <td>107.510002</td>\n",
       "      <td>107.660004</td>\n",
       "      <td>107.250000</td>\n",
       "      <td>107.470001</td>\n",
       "      <td>101.497200</td>\n",
       "      <td>1820300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2015-11-27</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>107.760002</td>\n",
       "      <td>107.220001</td>\n",
       "      <td>107.629997</td>\n",
       "      <td>101.648300</td>\n",
       "      <td>552400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015-11-30</td>\n",
       "      <td>107.779999</td>\n",
       "      <td>107.849998</td>\n",
       "      <td>107.110001</td>\n",
       "      <td>107.169998</td>\n",
       "      <td>101.213867</td>\n",
       "      <td>3618100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2015-12-01</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>108.209999</td>\n",
       "      <td>107.370003</td>\n",
       "      <td>108.180000</td>\n",
       "      <td>102.167740</td>\n",
       "      <td>2443600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-12-02</td>\n",
       "      <td>108.099998</td>\n",
       "      <td>108.269997</td>\n",
       "      <td>106.879997</td>\n",
       "      <td>107.050003</td>\n",
       "      <td>101.100533</td>\n",
       "      <td>2937200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2015-12-03</td>\n",
       "      <td>107.290001</td>\n",
       "      <td>107.480003</td>\n",
       "      <td>105.059998</td>\n",
       "      <td>105.449997</td>\n",
       "      <td>99.589470</td>\n",
       "      <td>3345600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2015-12-04</td>\n",
       "      <td>105.809998</td>\n",
       "      <td>107.540001</td>\n",
       "      <td>105.620003</td>\n",
       "      <td>107.389999</td>\n",
       "      <td>101.421646</td>\n",
       "      <td>4520000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2015-12-07</td>\n",
       "      <td>107.230003</td>\n",
       "      <td>107.269997</td>\n",
       "      <td>106.059998</td>\n",
       "      <td>106.550003</td>\n",
       "      <td>100.628342</td>\n",
       "      <td>3000500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2015-12-08</td>\n",
       "      <td>105.940002</td>\n",
       "      <td>106.400002</td>\n",
       "      <td>105.269997</td>\n",
       "      <td>105.910004</td>\n",
       "      <td>100.023895</td>\n",
       "      <td>3149600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2015-12-09</td>\n",
       "      <td>105.550003</td>\n",
       "      <td>106.750000</td>\n",
       "      <td>104.480003</td>\n",
       "      <td>105.000000</td>\n",
       "      <td>99.164467</td>\n",
       "      <td>4179800</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date        open        high         low       close   adj_close  \\\n",
       "0 2015-11-25  107.510002  107.660004  107.250000  107.470001  101.497200   \n",
       "1 2015-11-27  107.589996  107.760002  107.220001  107.629997  101.648300   \n",
       "2 2015-11-30  107.779999  107.849998  107.110001  107.169998  101.213867   \n",
       "3 2015-12-01  107.589996  108.209999  107.370003  108.180000  102.167740   \n",
       "4 2015-12-02  108.099998  108.269997  106.879997  107.050003  101.100533   \n",
       "5 2015-12-03  107.290001  107.480003  105.059998  105.449997   99.589470   \n",
       "6 2015-12-04  105.809998  107.540001  105.620003  107.389999  101.421646   \n",
       "7 2015-12-07  107.230003  107.269997  106.059998  106.550003  100.628342   \n",
       "8 2015-12-08  105.940002  106.400002  105.269997  105.910004  100.023895   \n",
       "9 2015-12-09  105.550003  106.750000  104.480003  105.000000   99.164467   \n",
       "\n",
       "    volume  \n",
       "0  1820300  \n",
       "1   552400  \n",
       "2  3618100  \n",
       "3  2443600  \n",
       "4  2937200  \n",
       "5  3345600  \n",
       "6  4520000  \n",
       "7  3000500  \n",
       "8  3149600  \n",
       "9  4179800  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(stk_path, sep = \",\")\n",
    "\n",
    "# Convert Date column to datetime\n",
    "df.loc[:, 'Date'] = pd.to_datetime(df['Date'],format='%Y-%m-%d')\n",
    "\n",
    "# Change all column headings to be lower case, and remove spacing\n",
    "df.columns = [str(x).lower().replace(' ', '_') for x in df.columns]\n",
    "\n",
    "# # Get month of each sample\n",
    "# df['month'] = df['date'].dt.month\n",
    "\n",
    "# Sort by datetime\n",
    "df.sort_values(by='date', inplace=True, ascending=True)\n",
    "\n",
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Timestamp('2015-11-25 00:00:00'), Timestamp('2018-11-23 00:00:00'))"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['date'].min(), df['date'].max() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'USD')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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PwB9/AEOGHPHquUYP2eWXA5s2ybFjz1l12rSp/pqnc87WrZN9PKdMAcaMAT79\nFLjzTpnntn+/3PPWW0CdOsDUqe49k5wzhjUbNKj5vqgo6U117FENBgzOiIgoaPTvL8FLerr0lhUX\nyxyt88+XTPjnnusiB0U1HHvIkpOldFwQUJ2WLau/5knP2YkTsnXToEFAjx7AjBlS/9lnwI4dwJIl\nkptr1ixg1ChzgQJ5x5OeMwBYscLa9niKCwKIiCgoOPZexMdLeot+/cy64cOBJk286+JwDMIOHpTS\nnZ4zx9xZlbk752zvXqBjRzkeOFDKyikefvgBaNeuHo4eBYYMqfl55Nrhw1K6M+cMkPmGjttrBRp7\nzoiIKChs2FDxvLQUWLzYPB83zvtnO/acGSk5qptz5q6ahjWTk4GXXpLjZcvM+jPPND/rmNE+KQnI\nz5f+Ele5ucg1Y2Wuq+CsjkMUVFxsXXs8xeCMiIiCwnffmccDB8o8rIMHgeeek7pRo7x/tmMPmfEX\nd009Z+vWAatW1fxMIzg7fBho3VrmxRkGDgQeeEACt5QUs94xPYbjStEjR4BXX+1apa3kmQMHgDff\nNM9dBWdHj5rHW7ZY0yZvMDgjIqKg8N13spKxpAT4+Wepa9MGeOghCXKaNvX+2Y49ZCUlMoRV05yz\nM88Ezj235mcaw5o//CB/yT/9tHktp3xR6Zo1wCuvyPFrr1X8vBHcXXGFlGvXtgDA4Kw24uOBG24w\nhytdBWeOvZ5r1ljXLk8xOCMioqCwbh1w3nkyz8txuEmpikOA3nAMeEpKZJ5YaWntAiGjTdnZUjpb\nGWjMfQIk0a2j0lIpBwyovq3kuehoYMQIOXa1WvPBB4HHHgNiY4GtW61vm7u4IICIiAIuPx84edK7\n7P/ucOw5M/aurFzvKaWk9+vYMTl31kvjOI+p8h6dxgKImBiZc2YsBGBwVntPPikrY2ta0AFIb+xT\nTwF33w20aOGXprmFwRkREQWc0cNk1ZZFlYc1jWHH2gRnQMXgzFkvjdGr5oxxrVUroFs3s57BWe2d\nfrr8uKumlCmBwGFNIiIKqBUrzFQTVgVnjoFTSQmwa5ccd+pUu+fWr28uMJg1S4bIHBnJUG+/vepn\nr7lGyiFDZEGBgcEZMTgjIqKAyc6umA2/eXNrvsdxDltJiblLQG33rzQm9RsWL66Yr83oHbv33qqf\n/eADGc6NiKg4/MbgjBicERFRQJSVyco6x/0lreo5c1RcDGzfDnToADRrVrtnVQ7O0tPN+WxAzUOe\ndetW3GS9SROZoObNxu5kLwzOiIjIbxYuNFfFbdgALF0qecyMPSybNLG+DSUlknusa9faP6tycJaT\nIwGaweg5cyfgevfdX/DZZ64LiWYOAAAgAElEQVQnsZP9MTgjIiK/GTfOnKidmirliBGSC6xePaBd\nO+u+e+lSWQBQUiKbqHfpUvtnGrnOHO3caR67uwE3ALRqVYTRo2vfJgp9DM6IiMgvHPegnDsX2LdP\njtu3l8nxxcXWDumNHCnJZTMyZGPszp1r/8zKPWeAubE6IMOadeo4D+KIqsNUGkRE5BcZGebxjTdK\nColmzfwzlGmoV8/s2fJFz5mr4Cw7WwLOyjnOiGrCnjMiIvILIzhbuFBWJB49KpPy/alePTMxrFU9\nZ5WHNd0Z0iRyxOCMiIj8wthkOjbW7LXq3t2/bXDcBsoXwZmrOWcnT9Y+0S2FHwZnRETkF88/L2XL\nlkBCghz7YmjRE/XKJ/O0aeOboMlZz9nJkxXPr7yy9t9D4YXBGRER+cXvv0vZpQswcaIcDxrk3zYY\nwZmvgkIjOKtuX8aYGOCRR3zzXRQ+GJwREZFfHD8uG0zXrw+MGSPJWkeN8m8bjODMF0OagDms+fTT\nsgXTOeeY39OjB/DCC/5JrEv2wuCMiIgsV1YGnDhRMSN/IOZiGds4+WohgtFzNmCAbN4+bJicN2sG\n/PYbMHmyb76HwguDMyIistyJE4DWtd8uqbaKiqT0VfoOIzgz9gSNj5eycWPfPJ/CE4MzIiKynLHH\nZNOmgW2HkQjXV712lYMzY4cDf+ZuI/thcEZERJYqLgaOHJHjQPecGcFZdLRvnte8uTzL6CkzgjP2\nnFFtMDgjIiJLXXGFOVE+0MFZQYGUvgrO7rwTWLfOnMvGYU3yBW7fRERElsjPN/fK7NRJ9tLs2DGw\nbfJ1z1njxrIq0xATA0RFcViTaofBGRERWcLY2BwAduyQyfiB7lEyes6sWimqFHDppf7P30b2wuCM\niIgscfiwlF99JRPnnWXT9zdf95w58/HH1j2bwgPnnBERkSWM4MyYhxUMjODMGG4lCkbsOSMiolrZ\nuhWoW1c2Ma/n8LeKEZzFxgamXc4Yw5rB0ItHVB3Les6UUrOUUkeUUtsd6p5SSm1VSm1WSq1QSrUt\nr1dKqdeUUinl1/ta1S4iIvKd114DTj8d6NkT+O9/pa6wUAK21FQJ2qrbdzIQLr9cykCvGiWqiZXD\nmnMAjKhU92+tdW+tdR8ASwD8s7z+EgBdy3+mAJhhYbuIiMgHliyRvTINW7ZI+eKLErC98gpw2WVm\nmolg8NprQHp64BcmENXEsn9ltNarAGRVqjvhcNoIgC4/Hg3gfS3WAmimlIqzqm1EROSdF18EJk2S\n408+kV6xXbvkfMMGYPx44Nlnzfvfecf/baxJRATQtm2gW0FUM7/POVNKPQNgAoDjAIaWV7cDcMDh\ntrTyuoP+bR0REVX2wguysfcFFwArVgDffQcMHgzMng2MHg106wZMnAjMnQvs3AmUlsrnNm4EWrUK\nbNuJQpHSWru+y9uHK5UIYInWuqeTa9MARGmtn1BKLQXwnNZ6dfm17wA8qLXe6ORzUyBDn4iNje23\nYMECy9rvS7m5uYi2cu12gNn9/QD7vyPfL/RZ8Y5lZcDw4eehbdt8zJ79C6ZM6Y8//pDvaN26AC++\nuBUJCSeRl1cXWVn1sWtXYzzzjGRlXbkyyadtAez9e7TzuxnC/R2HDh26UWvd3+VDtNaW/QBIBLC9\nmmsJxjUAbwEY73BtF4A4V8/v16+fDhUrV64MdBMsZff309r+78j3C31WvGN6utaA/ChlHgNav/RS\n1fs3bDCvW8HOv0c7v5sh3N8RwAbtRvzk12maSqmuDqejAOwsP/4CwITyVZuDABzXWnNIk4gowPbv\nN4+NgZa//Q245BLghhuq3p+Q4J92EdmZlak0PgSwBkB3pVSaUuomAM8rpbYrpbYCuBiAsc5nGYA9\nAFIAvAPgNqvaRURE7vvf/6S85x6zbuBAYNkyoHXrqvcHU9oMolBl2YIArfV4J9XvVXOvBnC7VW0h\nIiL35eXJ3pPr1gEzZwK9ewPPPw/MmwdkZtYcgCklPWqDB/uvvUR2wx0CiIgIO3ZI0HXyJNCpk1nf\nqhWwdKlk1G/VSoKzYcNqftb771vbViK7Y3BGREQYOVLKc84x66ZPl16wli3l/LPPgD17OK+MyGoM\nzoiIwlxhIbBvnxzv2ydzyj75pGqy1u7d5YeIrBVEm2oQEVEgHChPAT55MtCkCXDTTcyiTxRI7Dkj\nIgpzRrqM8eOB11+XLY6IKHAYnBERhbkPPgDq1QNOPRWoXz/QrSEiDmsSEYWx7Gxg/nxg6lSgTZtA\nt4aIAAZnRERh7ZNPgKIi2biciIIDgzMiojA2fz7QtSvQr1+gW0JEBgZnRERhKj0dSEoCrrtOMvsT\nUXBgcEZEFKYWLJDNzK+9NtAtISJHDM6IiMLU11/Lvplduwa6JUTkiMEZEVEY0hrYuFF2AyCi4MLg\njIgoDCUnSxqN/v0D3RIiqozBGRFRGJo/XxLPjh4d6JYQUWUMzoiIwsTy5cCmTXL822+yiXlsbGDb\nRERVcfsmIqIwkJ0NjBghx2Vlsp9mQkJg20REzrHnjIjI5goLgVGjzPPzzpMetA4dAtcmIqoegzMi\nIpu74w5g9Wpg8mQ5X71ayo4dA9cmIqoegzMiIhtbvhx4913g4YeBt9+WFBq//AI8/zxw882Bbh0R\nOcM5Z0RENrVoEXD11XI8bZpZ378/U2gQBTP2nBER2dTChVJ+9hnQpElg20JE7mNwRkRkU1u3AmPG\nMJcZUahhcEZEZEMnTwK//y57ZxJRaGFwRkRkQ7/9JpP/Tz890C0hIk8xOCMiCqD8fOC//wVyc337\n3C1bpGTPGVHoYXBGRBQgpaXAl18Cd90FjB1b8VpZGbBjh/vPmj4deO65U/4637oVaNSIucyIQhGD\nMyIiP9MauOoqoGdP4Ntvpe6bb4CjR4GHHgLWrgVuuw047TSpd+d5990HrFjRBqmpUrd1K9CrF1CH\n/5UnCjn815aIyM8OHQI+/hjYuRN45x3p4QKACROAF18EBg8G3npL6ozgrSbp6ebxwoUSrG3dyvlm\nRKGKwRkRkZ/t3y/lrbdKMLV9OzBxomTzN7RoIXtgLlgAFBTU/Ly0NPN4/nzZCSA7m/PNiEIVgzMi\nIj87cEDKW26R4c3ERGDOHODwYeDnn+XaCy9I8LZ/vwRvxueKi6s+79AhKS+66BC2bQOmTpVzBmdE\noYnBGRGRH6WnmxuPt29f8VqrVjKkWVwM3HQTEBsr9Xl5Esh16AC89FLVZx48KOXYseb45hlnyA8R\nhR7urUlE5CdffGFm6+/RA4iJcX5fvfL/MkdHS5maKkOVALBnT9X7Dx6Uif9du+bg3HNlhebcub5t\nOxH5D4MzIiI/2bBBgqjZs4GRIwGlar7fWCjw449mndGb5ig9Xerr1gVWrfJde4koMBicERHVQn4+\nEBnpXsqK3btlftmECe492+g5cwy48vKq3peaynxmRHbCOWdERF4qKQG6dQNeftn1vUZ6i27d3H++\n0XOWkgJ07gy0aSPB2YEDwAUXmAsB9u6VoI+I7IHBGRGRlzZvljQW27a5vnfTJiA5Gbj8cvefb/Sc\nAUDfvhKs5eXJfLKVK2XRwPTp0nPG4IzIPjisSUTkoY0bpdfMWHVprJYsKwP++U+gSRPgwQcrfsbY\niunCC93/nvr1zeO+fSVp7cmTsqoTAJYtk5/u3WWo1GgHEYU29pwREXmof39g0CDg66/l/M8/gcce\nk2HHZ56RLZgqM4Yg4+Lc/x7HBQOOPWfHj5v1s2ZJ0Na9u+fvQUTBiT1nREQ1SE4GIiKALl2qXjO2\nVtqxQ36ioipe//xzYMsW6U07dAho2LDiUKUn+veXz+flSfZ/ADj3XGDMGO+eR0TBi8EZEVENRo6U\nVBWPPQbk5AADBlS8fsYZMp8MAMaOBf73Pzl++21JHAvIZ5OTJd2Fq/QZzjRoADRvLj1nWVkSnLVq\nxbQZRHbF4IyIqBqHD8tKyLg44IknKl678EJg3z7go49kvtewYTIPzWAEZoCstNy7F+jXz/M2HDwo\nPWZAxZ6z6hLYElHo45wzIqJqbN4s5f/9n1n37rvAW28BS5ZI3rKuXYE1a4Cnn66Y6ywmBvjPf+R4\n717g0UeBV1/1vA1t2sgCAwBo3BjIyJCh0ubNvXolIgoB7DkjIqqGMYn/gguAyZNl2HLEiOrvdwzO\n3n/f7EmLjpbgrbYuvliCw/x83zyPiIITe86IiKqRmSllixYyh6ymwAww02R8+CFw2WVm71ZkpG/a\nc8UVwAsvyDZQV17pm2cSUfBhzxkRUTUyM2W/yqZN3bt/yBAgN9fM7G/MC/NVcBYRUTV/GhHZD3vO\niIgcFBdL1n9AVkbGxHi2wtIIzByP27TxXfuIyP4YnBEROXj6aaB9exnC3LpVhjS91bEj8NRTwCef\n+K59RGR/LoMzpVR3pdTLSqml5T8vKaVc5qJWSs1SSh1RSm13qPu3UmqnUmqrUupTpVQzh2vTlFIp\nSqldSqnh3r8SEZH31q+Xcu1a4OefaxecKSU5zhISfNM2IgoPNQZnSqnBAJIA5AB4G8A7APIArFRK\nDXLx7DkAKk+f/QZAT611bwC7AUwr/54eAK4BcFr5Z95UStX15EWIiHwhORkYPx5ISQHuvx+YOjXQ\nLSKicONqQcA/AYzXWic51H2mlPoewBMALqnug1rrVUqpxEp1KxxO1wIw1huNBrBAa10IIFUplQLg\nTABr3HgHIiKPaC1pLurVk3xlQ4ZIDrFjxySx7OTJQMuWwL//HeiWElE4cjWs2blSYAYA0Fr/AKBT\nLb/77wC+Kj9uB+CAw7W08joiIp956CHg5puBO+4A6tcHFi8GRo0C/vY3ub6m/H8HBw8OXBuJiFz1\nnOXUcC3P2y9VSj0KoATAfKPKyW26ms9OATAFAGJjY5GUlORtM/wqNzc3ZNrqDbu/H2D/d7Tj+5WV\nASdP1kN0dAlyc3Px1ltFOH68/l/Xb7mlEEAkUlJykZS0Ae++2wUREW1RWPgTkpJKA9dwL9nxd1iZ\nnd/Rzu9m4Du6x1Vw1l4p9ZqTegUve7aUUhMBXAZgmNbaCMDSALR3uC0ewJ/OPq+1fhsy/w39+/fX\nQ4YM8aYZfpeUlIRQaas37P5+gP3f0Z/v9/PPsu1Rq1bWfUdOjiSF3bIFmDcPePXVDBw/Xh833ACs\nWydbL2VlSQKy+vWjMWjQEPztb8CYMcAll5xrXcMsZPd/RgF7v6Od383Ad3SPq+DsgRqubfD0y5RS\nIwA8BOB8rfVJh0tfAPifUmo6gLYAugJY7+nziSg0nH020KkT8Mcf1n3HjBnmysurrwaAlgCA0aNl\nayUjd9mgQUB6OvDZZ5LX7OabrWsTEZE7agzOtNZzK9cppWIAHHPo9XJKKfUhgCEAWiql0iALCKYB\niATwjZL/Mq7VWk/VWv+mlFoIYAdkuPN2rXXojSkQkUuFhVLu2WPt96SmmsddusjqSwDo21fK5cuB\nn36SjcRTUmTPyoQEYNgwa9tFRORKjcGZUuqfABZqrXcqpSIhE/j7AChRSl2rtf62us9qrcc7qX6v\nhvufAfCMe80molCVU9NMVh9KSwN69wauuUYm/K9cuQGnn94fHTvK9Ysvlp8HHpAA7bvvgH/9q+Lm\n5UREgeDqP0PjAOwqP54ImWvWCsD5AJ61sF1EZFOOwdnvv1e8lpQkm3vn59f+e9LSJNP/tGlAt25A\n9+65GOQkO2ODBuaxsWqTiCiQXAVnRQ7Dl8MhuchKtdbJ4KbpROQFx+Dsqqsk55hhxgzg88+BW2+V\nlZbe0lrylbVv7/rehg3N4w4dvP9OIiJfcRWcFSqleiqlWgEYCsAxiWzDaj5DRFStEyekjIyUlZTL\nl5vXmpVv6DZ3LvDoo95/R1oakJ0N9Orl+l7H4Cw62vvvJCLyFVfB2d0APgawE8B0rXUqACilRgLY\nZHHbiMhm8vJknhcArFghG4P/619yXlgoG42feipwyy3A888DP/zg3fds3CilMfm/JsawZkP+7yYR\nBQlXwdnZkP00nwVwUil1r1LqBgDJ1Uz4JyKq4ssvgTfeAMaONeeTtWgBTJggOcdeegmIi5PNxktL\nZZ4YYK6wBIBFi4ALLpBtl1z59VeZ2N+7t+t7jaCsaVPP3omIyCqu5o01dlKXCOBRpdSTWusFvm8S\nEdlJfr5skVRZ48aS76ysTFZMxsVJ/d69cg2oOD9t6lTJQ/bxx7ICszonTgCrVkkPnDu9YVFRUsbH\nu/U6RESWc5Xn7P+c1SulmgP4FgCDMyKq0Zw55nH//rIicto0oHlzVFg9OXUq8MQTQFGROfcrN9e8\nHhMjwdnEiZIj7cEHpXcsNxdo0sS8Ly4OOHlSeuXckZEh5YABXr0eEZHPeZXRR2udBef7YRIR/aWk\nBPj3vyUIy82VXGIPPWQGYI0bm1s4XXwx8PTTMs+sfn35MXrODhyQgOyWW+Szjz4KRETI6sqmTYH5\n883vPFm+90ifPu61cdw44MYb5buJiIKBV+kwlFIXAMj2cVuIyEby84GnnpJM/a+8AjRqZF6LiDCP\nv/gCOHhQAjjHnrTGjc2es88+k/QYDzwA3HUXcNppUp+eLuXSpcB111X8/m7d3Gtns2bA7NmevRsR\nkZVc7RCwDUDlbZqaQzYld3PQgIjC0csvA889J8ORl19e/X3OEsMCEpwZPWf79sncsE6dzD0xAVn9\nOWqU7NGZmys9a4Cs0hw50jfvQUTkb656zi6rdK4BZGqt8yxqDxHZxO7dUi5a5N2WSNHRZs/Zn38C\nbduagdnMmTK82bChBGyffgosWAD8739y/bbbKgZxREShxNWCgH3+aggR2cuhQzLJ3tuNxCMjJej6\n8ktg/34JzgxGDxkgudIyMoCPPjLrWrb07juJiIIBt2AiIkukprqXBLY6RiJZIw3HVVc5v69dOym/\n/Ra45BKZ2zZ4sPffS0QUaF6t1iQiqkl+vgRnXbt6/4zp0yUw+/BDmZc2YoTz+xx71B56SIZRW7f2\n/nuJiAKNPWdE5HPbtkmm/zPO8P4Z994rP0DNSWeNnrNWrYBzzvH++4iIggV7zojI55KSpOzXz/rv\nMnrOrrgCqFvX+u8jIrIae86IyKdKS4G33pJerMRE67+vaVNg3jxg6FDrv4uIyB8YnBGRT339tWTz\nf/ZZ/33n9df777uIiKzGYU0i8qm335b9LceMCXRLiIhCE4MzIvKp9euB4cNlb0wiIvIcgzMi8pnM\nTEk+a+x9SUREnmNwRkQ+k5wsZY8egW0HEVEoY3BGRD5z4ICUCQmBbQcRUShjcEZEHlu7Figrq1qf\nni5lfLx/20NEZCcMzojII7/+KntX3nefnGsNTJokG5SnpQHR0UCTJoFtIxFRKGNwRkQeOXhQyv/8\nByguBrKygDlzgCuvBGbMkO2UlApoE4mIQhqDMyLyyOHD5vHXX5vBmlJAUZEEaURE5D3uEEBEHjly\nRMqICODTT4Frr5XzRYskt9mwYYFrGxGRHTA4IyKPHD4MNGokG41/8QVw3nlS37070K1bYNtGRGQH\nHNYkIo8cOQLExkpwlpkJ/P3vUh8bG9h2ERHZBYMzIqogLQ0oKZHAKyUFyMureP3wYaB1a2DECDnX\nGpgwAWja1P9tJSKyIwZnRPSXJUuA9u2Bu+4CevUCunYFEhNlor/B6DmLjpZhzTVrgLlzA9ZkIiLb\n4ZwzojBz6JAEVtHRVa9dfrmUM2aYdRkZwFVXAcePA3fcIT1ngwZVvJ+IiHyHPWdENpebC5x7LrB1\nq5zHxQFnny3H+/cDW7bIcX5+XaefP/106SH74QcJ0o4ckWFNIiKyBoMzIptbuRJYvRp48EFJGAtI\noJaUBPTpY+Yly8ysD0Du++QT2QGguBhYsaLqMzn5n4jIOhzWJLKxyZOBnBw5jo4GfvvNvDZ0qJQF\nBTKpPytLgrOLLgIuvBAYM0aut24tQ5mxsZLDLD4eGD7cjy9BRBRmGJwR2VR2NvDuu+b54sXAjh0V\n73n4YeD552VFphGctWlT9VmtW8um5i1aAJGRFjaaiIgYnBHZ1Z49UkZGAoWFcpycDMyaBfz+u/SO\n7d8v9UeOANu2NUX9+kBCgvPntW1rfZuJiIjBGZFt/fGHlEuWyFAlADzwADBpknnPsmVS7tsHfPtt\nLK64Amjc2L/tJCKiihicEdnU7t1SGmkvAODFFyveExcn5QUXAEDEX9n+iYgocBicEdnUxo2y32V0\ntAxjnjhR9Z4+fWSCf1oa0LJlIS68kBPKiIgCjak0iGxq0yagb1857tLFPHaklKTOAIDTTz+Gus5T\nnRERkR+x54zIpg4fll4xV8aNk1xo1177BwAmMCMiCjT2nBHZUFGR5C9zZzPy1q0l6WzLlkWubyYi\nIssxOCOyoePHpXQnOCMiouDC4IzIho4dk5LBGRFR6GFwRmRDRs9Zs2aBbQcREXmOwRmRDXFYk4go\ndFkWnCmlZimljiiltjvUXaWU+k0pVaaU6l/p/mlKqRSl1C6lFLdVJqoFDmsSEYUuK3vO5gAYUalu\nO4CxAFY5ViqlegC4BsBp5Z95UynFjEtEbkhNBd5+u2JdZqaUMTH+bw8REdWOZcGZ1noVgKxKdcla\n611Obh8NYIHWulBrnQogBcCZVrWNyE4eeQS45RZJOmtISQHq1wfatQtcu4iIyDvBMuesHYADDudp\n5XVEVIOsLODTT+X4vffM+t9/Bzp3BjP+ExGFoGDZIUA5qdNOb1RqCoApABAbG4ukpCQLm+U7ubm5\nIdNWb9j9/YDgfMcPP2yPwsLO6No1B2+80Rj79v2J++7bjQ0bzkRCwkkkJW13/ZBywfh+vmT39wP4\njqHOzu9m4Du6SWtt2Q+ARADbndQnAejvcD4NwDSH8+UABrt6fr9+/XSoWLlyZaCbYCm7v5/WwfeO\npaVax8VpfdFFWn/7rdaA/Hz/vZSvvebZ84Lt/XzN7u+nNd8x1Nn53Qzh/o4ANmg34qdgGdb8AsA1\nSqlIpVRHAF0BrA9wm4iC2ubNwMGDwPXXA0OHAjffLPW33SblmDGBaxsREXnPylQaHwJYA6C7UipN\nKXWTUmqMUioNwGAAS5VSywFAa/0bgIUAdgD4GsDtWutSq9pGZAfLlkk5YgRQpw4wcyYQFQXs3AkM\nHOjepudERBR8LJtzprUeX82lT6u5/xkAz1jVHiK7+eoroH9/2bgckMn/CQnArl3A2LGBbRsREXkv\nWIY1icgDWVnA2rXAyJEV6x9/HBg1CpgwITDtIiKi2guW1ZpE5KZDh4C4ODmuHJxdd538EBFR6GLP\nGVGIWb3aPO7fv/r7iIgoNDE4IwohxcXAVVfJ8X/+wySzRER2xOCMKITs3m0e33134NpBRETWYXBG\n5IGTJ2Ufy13Odoj1g4MHpeSEfyIi++KCACIAJSUyRKjKNxLLyABiYioOG2oN3Hcf8PbbQF4e8MEH\n/m+nEZw9+qj/v5uIiPyDPWcU9kpLgSFDgBtukB6xgweBVq2AF16oeM/LL3fDzJlyvnVr1edoDSxe\nDBQUWNdWIzgzVmsSEZH9MDijsJaSIhPsf/oJmD8fOOUUYPJkubZsGVBUBPzvf8Ds2cDSpW3x6KPA\njTcCx45VfdZPPwFXXgk8/LAEanl5vm2r1sCGDUB0NNC4sW+fTUREwYPBGYUlrWXl40UXAZ9W2rNi\n6VIpmzQBXnpJ8oZNngw0bFiCp56SLZIKC6s+MytLym3bgLfekiAqLc137X3mGWDRIuCOO3zzTCIi\nCk4MzijsLFsmgVP9+sDevVJ3771SDh4sk/7HjgV++QWYMcP8XHx8PpSS4MzZ0OWRI1IWFgLvvCPH\n7dubQ5G1MWeOZP+/+moJ0oiIyL4YnFHY2bhRAjDDuecCU6ZIQte5c4EGDYBrr5VFAWlpQIcOcl9c\nXD6A6oOz9HQp8/KAEyfM+muvlTlrAHD77dIb56lvvgGaN5ch1jr8t5aIyNb4n3kKC8nJwJdfyvDg\n4cMS6Bg9WpMmyVyzX34BunaVur/9TXrXANlg/Oqrgb//PRWABGdFRUBZWcXv+PNPKbdtA/bvN+uT\nkoB69YChQ4E33wSWL/e8/b/8Ip9n0lkiIvtjcEa2tHEj0KsX8MgjEpDdfLNsCH7++cCePUBsLNCm\njcw7u/FG58/47Tf56dED+OgjoEMH6TmLjJTrR44Aubnm/ZmZUpaWSvBWWVKSlMePe/4+hw6ZPXhE\nRGRvzHNGtmTsObl9O/Dcc2bdjz/K8dChUtar4d+A6oKhqCgpR4wATjtNVnkCsiBg0CBJx5GdXf1z\nHYc83VFSIkFgs2aefY6IiEITe87IdjZtMo87djSPX3/dPG7TxvvnG8HZli3AgQNmfXa25EcbPtys\n69xZhkgBCdzOOst5z1l2tuRVKympes24n8EZEVF4YHBGtpGeDsyaBfTta9Z99JHkJMvKAk4/3ayv\nzfZHRnAGADk55nF2tuwqcNllcr5ggcwV+/BD6flas0ZWgzoLzp59VvKjGT17jhicERGFFw5rkm3c\ncAOwcqV5/uCDwIABzu+96CLvv8eYcwYAmzcDCQmyCMAIzsaPB+LjZX6bISJCyqZNgfx8mesWEQFM\nny4LDtatk+tbt5pDrgYj4W3Tpt63mYiIQgeDM7KNlBQpN26U3q0ePaq/tzarHh17zgBZmTl7tswl\ni4mRVBeOgZkjI8BaswY47zzZq9PxuZs3V/2MEZyx54yIKDwwOCNb+Oormf91zz0VhzUr27ZN8pjV\nRuXgDJDvBVzveWkEhcOHV0xOO2mS5FX7+eeqn2FwRkQUXjjnjGzhww+lHDmy5vt69pRJ+rXhLDgb\nO1ZWbd5wQ82fHT1ayoICCRQB4PPPZa7cuecCu3dL2gxHxqKD2ixiICKi0MHgjGzh+HGgd+/azSVz\nlxGcGfPIEhKAxYtlJwBXvXLx8bJIAQDGjJGyUycpzztPysqLArZuBVq3ltxsRERkfwzOyBYOHfJf\nz5IRnBmrPx0XCLjj6toNulYAACAASURBVKslrYeRtDYxUcq+fYGGDasGZ9u2SUJdIiIKD5xzRrZw\n6JBsweQPvXsDTz0FtGgBbNgANGrk+TNuv11Sf6xaZW4TFREhudCWLZP5ZZMny8bpe/eavWxERGR/\nDM4o5BUUSHDmr2G/unWBxx6TVZqjRkkQ5Y1nn61aN2wY8OijEvw1bAjcey9w9KgMhxIRUXhgcEYh\n75VXZC/LSy/17/d26CCT+X3p3nuBCy4ALrkESEszN1Nv186330NERMGLc84opB06JD1Qo0dXn1ss\nlDRoIEOb7dtLcJaeLvXsOSMiCh8MziikffmlbI301FOBbolvxcdLcJaWJufsOSMiCh8MziikGQla\nHTc4t4PKwRl7zoiIwgeDMwoKqamSQPboUc8+l5MDKOXdislg1q4dcOSI/LlERwNNmgS6RURE5C8M\nzigozJghWzD9+9+efS4nR4IXpaxpV6DExwNaA7/8IoGa3d6PiIiqx+CMgsLu3VLu2lX1WlqapKso\nKqp6LScHaNzY2rYFgjGM+csvHNIkIgo3DM4o4A4elMSrgJk139GUKcC77wIrV1a9ZvfgDOBiACKi\ncMPgjALqzz9lK6OSEuCMM4CMjKr35OZK6WybJLsGZ507m0OZ7DkjIgovTEJLAZOWJvm8AMlT1rYt\nsGhR1ftOnpTS2NNyzx5ZODBwoH2Ds6go2cIpO5s9Z0RE4YY9ZxQw339vHv/jH7JXZVYWUFpa8b6C\nAinLyqTs2VMStaalAatXy3ZKdjRsmJR2SxNCREQ1Y3BGAfPdd1L+7W/AuecCLVtKAGbkLjPk50tZ\nVAQcPmyeG5uBt2njn/b62/z5wPLlwPDhgW4JERH5E4Mz8ruxY4GEBODjj4Grr5ZSKSAxUa5v317x\nfmNYs7hYhvkMGzZIOXOm5U0OiPr1gYsvBurw31IiorDC/+y7qaxMkoKGsxMnJLBKSpLzffvMjbnd\nVVgIfPGFJFXt21dWYhqGDgXq1ZN8Z4Y1a2T/TEB6znJy5Piaa6Ts0MF+CWiJiCi8MThz09NPA7Gx\nkvYhXL38MvDpp8Bbb8l5YiLQrZtnz5g7V+aUPf448OOP5rwqQAK2c84x02oAFZPSFhebwdmkSfL7\n6NLFq1chIiIKWlyt6aaFC6U8dAiIiwtsWwJlyRIpFywAhgyR47w8z57x7LNSnnmm8+sjRwIPPiiT\n/Vu2NOelAdJzZqTVaNEC+Ppr5+k1iIiIQhl7zlzQGvjjDykBGdoLR3v2AL/+ap5Pnerdc7KygOuu\nM+eXVTZypJRTpgC9esmf95tvSp1jz1njxkCfPsCpp3rXDiIiomDF4KwGpaWybVCXLsCOHVLnLElq\nOJg/X8rly4Hp0yVwAmSyenExkJlZ/697MzOdZ/rPyZGf3r2r/54ePYBTTpF5ZykpQIMG5mpFxzln\n0dE+eCkiIqIgxOCsBj//DMyaBTRvbtZdeaU5xBku9uwB3n9fhjIvvhi4915g82aZD1ZWBjz6KHDD\nDWf+leKiZUv5qSwtTcqaMt4rJfPRDOecYyafLS42hzXtmHiWiIgIYHBWo3PPBbZsAT75pGK9XVM3\nOLN2rWwllJICXH+9WV+njjk0OX06kJ9fz+VqVmNlp6uM99deC3z5JXD33cCcOZJSAqjYc8YVmkRE\nZFcMzlzo1Qs4/3xzIjsArFolc6fCwZ49Ug4YIDnJHBnBmZHR39WQr5GjzLEnsjqXXQb85z+ypVNE\nhNQZc84aNWLuLyIisi/+FeemadPM49LSiukeqpOXJ4FcKDMCrmXLqg4ldu7s/F5DUVHFcyPzf9Om\nnrXBsecsN5dDmkREZG8Mzrz0+eeu77n1Vul127/f+vb4wsKFFfe7BGRiv1JATEzV+yvXHT1q7oNp\nnC9ZAhw4IOfHj0vZrJln7arcc8bgjIiI7Myy4EwpNUspdUQptd2hrrlS6hul1O/lZUx5vVJKvaaU\nSlFKbVVK9bWqXb7Qtq17PWJbtkhpZLgPdv/4hwxdOm6RlJkpQVh1m4u//DLw7rtynJFR8bNvvgmM\nHg28+qqcHzsmgZ6nKy3r1pXPGXPOuFKTiIjszMqeszkARlSqexjAd1rrrgC+Kz8HgEsAdC3/mQJg\nhoXtqrW+fWUrJ2Ny+saNwN//LisXHRkJUj3d4igQCgulnZmZQM+eZr6xjAxJ+Fqdf/xDsvVHRJTh\n4EHJCWd46SX5MzF2VTh+XIY0PZ0vppT0nhmrNdlzRkREdmZZcKa1XgWg8rT50QDmlh/PBXCFQ/37\nWqwF0EwpFbR5+I08XampUo4cCcyebQYhmzdL0lojBUR6uv/b6KlnnpE2x8VJkPbVVxKwZWY6T4vh\nqE4doE2bArz4ogzj1qsniwWMOWeHDwPffisrPj2db2aoX589Z0REFB78PecsVmt9EADKy9bl9e0A\nHHC4L628LqgYQ3tGcGb0Ehm7BxQWAlu3AmecYW7MDZj5vYLZU09JefnlZl12tuueM0PbtpLkrEcP\nCVpHOPSZrlsHXHSRBHyezjczGMEZe86IiMjugmVvTeWkTju9UakpkKFPxMbGIikpycJmVf7u8wDU\nQU7OBgD9kZS0GzExf6Kw8GwAEfj++1+QlVUfwOkVEtVu2XIQZ5+d69e2eiIrKwLA2ejUKReJiXsA\nSPS5fPl6/Plnb7Rpk42kpF01PqN16wQALXDaafuRkrIHBQUJADpCKY3cXPn19u2bjcGDM5CU5HlX\notZnYd++DGRmtkBubiaSknZ7/Izays0N3t+hL/D9Qh/fMbTZ+d0MfEc3aa0t+wGQCGC7w/kuAHHl\nx3EAdpUfvwVgvLP7avrp16+f9qfISK0BrbOytK5TR+vHHpP65s2l/scftf7wQzn+xz+0btxYji+7\nTOuVK1f6ta2eSEqSdq5YofWGDXIMaL16tdYNGmh9//2un/Hxxz/pu+7SevduOZ85U55x6aXm83bs\n8L6NiYlaX3ed1tHRWt9zj/fPqY1g/h36At8v9PEdQ5ud380Q7u8IYIN2I37y97DmFwAmlh9PBPC5\nQ/2E8lWbgwAc1+XDn8HknXdkTlaTJnL+9NMyn8oY1szJMVcr3n+/DAkOHSopJYKF1sC8ebJf5Z13\nyrmRn6x1a6BVK/Pe++8H8vPdG9Zs0aIIr74KdO0q51dcATz2WMXdFWratsmV9u0lJUleHoc1iYjI\n3qxMpfEhgDUAuiul0pRSNwF4HsBFSqnfAVxUfg4AywDsAZAC4B0At1nVrtq44QaZLF+3rrky8/PP\nzeDsxAkzOIuJkXlSbdvC5bZG/rRkCTBhArBiBfD667LTgbFJeYsWFYOztWuldLUgwJnYWJnHVr++\nGUzVJqhKTJTN57VmcEZERPZm2ZwzrfX4ai4Nc3KvBnC7VW2xUrNmVXvOoqLMlZqtWgVXcLZtm5Tv\nvQfcdJOsMHUMzho0AMaNAz76yPxMbGztvjM5Gdi3r3bPSEgw28nVmkREZGfcIcBLP/4o5cmTVYMz\nx8z5CQkyFJeZWd//jXTijz8k2OrWTc6N3GYNGsgPACxYID2CR48CX3whQ6C10a4dcNZZtXuGsY8n\nwJ4zIiKyNwZnXjKCm7w8SY4KOA/OBg6UcseOJv5tYDX++EP2xGzbVs7375ftlSrPKxs1SoYzL7/c\n3NsykBISzGMGZ0REZGfBkkoj5DRqJGV2tkyaByQ4O3y44jDgGWdIdvtgCs6GDpWFDUoBkydL/eDB\ngW2XK449ZxzWJCIiO2Nw5iVjCNBxLtWJE7KP5plnmnVRUbLdUzAEZwUFsltBp07S/g8+ADZtAvr0\nAS68MNCtq1n79uYxe86IiMjOGJx5qU4dCXD27zfr/r+9u4+yqq73OP7+MoMwDMgzCBT5gNcwEBM0\n0AAfa0WUotcKNDU1b+m1m2RpqeQDmpWrWnVNy6Wh2c2l+bjUrnIVFMlSMBUUFEw0RSUgZQbi+Xv/\n+O3tOTMOME9nP83ntdasc87e+8z8PnP2nPme396/366rC8XZHns03HbsWLj++h5s2RJ60dKyYkU4\nP26ffcLjadPCVx506RIOxa5cqeJMRESKTeectUFtbcOes7ffDuegNR7dOG4cbNpU9f5IyaQtXhwu\nQv7kk+FxXJzlTXxoU4c1RUSkyFSctUG3bqWes379wnU1IYxOLDd2bLi97LLSxcCTdO218O1vw+mn\nh8d5Lc7iQQHqORMRkSJTcdYGtbVhMMDAgTBqVJiSwuyD528NHRpu77sPZs1KvJnU1TWcXHbAgB1v\nm2XDhoXDwuo5ExGRIlNx1gbxiM2bbioVPOPGffCcMzPo2nUbkE7PWV1daeqMuD159M1vwuzZUK0z\nJUVEpMBUnLXB1Klw5ZUwaVLpUNvxxze97Y03Pg2ESWuTVlcX2rdoESxcmPzPby99+sDEiWm3QkRE\npLLUB9EG06eX7scXQ58ypeltBw3aSHU1vPtu5dsVmzcvHEpdty707I0YkdzPFhERkdZRcdZOTj01\nnFu2995NrzcL1+F8771k2nPLLeHamVu3hl6zHbVLREREskXFWTsZMWLXPVM9eybTc+YeRmd27Qr1\n9aXDmiIiIpJ9OucsQb16JVOcLV0Kq1bB5MmlZSrORERE8kHFWYJ69QrX4qy0+KT/SZNKy1SciYiI\n5IOKswTV1iYzWnPJkjDdRPk1PsuvTSkiIiLZpeIsQTU1YdLaSnvxRdh334aTzcZXBxAREZFsU3GW\noKSKsyVLYPjwMAAhpolbRURE8kHFWYKSKM42bYLly2H//aFTJ/jxj+Gppyr7M0VERKT9qD8lQV27\nVr44e+UV2LYt9JwBnH9+ZX+eiIiItC/1nCWopgY2bqzsz1i7Ntzm9eLmIiIiHZ2KswTV1IRerS1b\nKvcz4tGgNTWV+xkiIiJSOSrOEhQXTJU8tBl/727dKvczREREpHJUnCUoieJMPWciIiL5puIsQXHB\nVMnzzuLCT8WZiIhIPqk4S1DXruFWhzVFRERkR1ScJUiHNUVERGRXVJwlqJLF2U03waBBsHhxw58l\nIiIi+aLiLEHdu4fb+vr2/96PPgpvvw233AK77QZVVe3/M0RERKTyVJwlqG/fcLtmTft+37lzw5UB\nYuo1ExERyS8VZwmKi7PVq+FHP4Innmj799y2DSZPhj//ubRMgwFERETyS9fWTFDv3mAG77wDV14Z\nlrk3ve2jj8ILL8CoUTBhwo6/5/LlsH59uD9xIjz5pHrORERE8kzFWYKqq6FXL3juuZ1vt349HHMM\nbN8O++0HS5fueNvy77XnnjBwILz1Vrs0V0RERFKg4ixh/frBU0+F+/37N71NfX0ozADWrdv593v+\n+dL9vn1h5kzYurXt7RQREZF06JyzhA0fDqtWhftDhjS9TTxXWc+eux7ZWd5z9uEPh0OaPXq0vZ0i\nIiKSDhVnCbvjDpg/P9wfMKDpbeJ50Pr3D4c4mzovbe1amDIFHn64tGzkyPZtq4iIiCRPxVnCdtsN\nDj00nLz/8MNw880f3Ka8ONu+velrcd5zT/javLm0bPjwyrRZREREkqPiLCXxOWVnnvnBdeXFGcBF\nF8GmTQ236dmzdP/WW+HBB2Hw4PZvp4iIiCRLxVlK4mKruokhGfE5Z/36hduf/hRmz264TV1duD3o\nIDj2WPjMZyrTThEREUmWirOUxIcjO3cuLYtHZsY9Z+XnpJk1fH687ezZpctCiYiISP6pOEtJXJzF\nPWdPPw19+sCCBfDQQ2FZ+VQb8USzsbg408hMERGRYtE8ZylpfFjz1VfDpZgOPri0TZcupftNFWc1\nNQ173kRERCT/1HOWksY9Z42LL4ChQ0v3myrOdt+9Mm0TERGR9Kg4S0lzirPDDw+HO5tar+JMRESk\nmFScpWSvvcJtfKJ/U8VZTQ2MHh22abx+zZqG02mIiIhIMag4S8m990JtbemcsaaKs+rqUJh169Zw\nvTs8+yyMGJFMW0VERCQ5Ks5SMmAATJtWKrqaKs5itbUN17/5Zrg+5+jRlW2jiIiIJE/FWYpqa2H1\narjggtK5ZbFLLmm4XXlxtmBBuB0zpvJtFBERkWSlUpyZ2X+Z2WIze8HMvhkt62Nms81sWXTbO422\nJenkk2HCBPjJT2DePNhjj3AY86ST4PLLS9s1Ls4WLoSqKhg1Kvk2i4iISGUlXpyZ2Qjgq8AhwChg\nspntC1wIPOLu+wKPRI8LbfRoeOSR0vU1+/aFqVPhyCMbbjdkCKxYUXq8cCHsv38YMCAiIiLFkkbP\n2XDgz+6+wd23Ao8BU4BjgZujbW4GjkuhbakYODDcdukCv/sdnH56w/UjRsCLL4ZJat1DcabzzURE\nRIopjeJsMTDBzPqaWTdgEvBhYKC7vwUQ3Q7YyfcolLg4i68a0NjIkWHd8uUaDCAiIlJ0iV++yd2X\nmNkPgdlAPfAcsLW5zzezs4CzAAYOHMjcuXMr0cx2V19fv8O2vvHGAGB/unVby9y5z39g/aZN3YEx\n3HbbC1RVbQdGYvYMc+euq2STW2Rn+Yqi6BmVL/+UMd+KnC2mjM3k7ql+AVcBZwMvAYOiZYOAl3b1\n3NGjR3tezJkzZ4fr5s93B/ebb256/YYN7p06uX//++4zZoT769dXpJmttrN8RVH0jMqXf8qYb0XO\nFuvoGYEF3ozaKJULn5vZAHdfZWZDgeOBccBewKnA1dHtvWm0LQ2HHhoufL7nnk2vr6mBYcNg0SLo\n3x/69QsT04qIiEjxpFKcAXeaWV9gC3COu//TzK4GbjezM4DXgRNTalsqdlSYxUaMCMXZIYdA9+6J\nNElERERSkEpx5u7jm1i2BjgqhebkwsiRcNddsGwZHHBA2q0RERGRStEVAnJiypTS/aqq9NohIiIi\nlaXiLCdGjYJzzgn3dzTlhoiIiOSfirMcOeKIcKviTEREpLhUnOVI377hVsWZiIhIcak4yxEVZyIi\nIsWn4ixH+vULt5s3p9sOERERqRwVZznSp0+4nTQp3XaIiIhI5aQ1Ca20Qpcu4UoCgwal3RIRERGp\nFBVnObOrKwmIiIhIvumwpoiIiEiGqDgTERERyRAVZyIiIiIZouJMREREJENUnImIiIhkiIozERER\nkQxRcSYiIiKSISrORERERDJExZmIiIhIhqg4ExEREckQFWciIiIiGaLiTERERCRDVJyJiIiIZIiK\nMxEREZEMUXEmIiIikiHm7mm3odXM7B/Aa2m3o5n6AavTbkQFFT0fFD+j8uWfMuZbkbPFOnrGj7h7\n/119g1wXZ3liZgvcfUza7aiUoueD4mdUvvxTxnwrcraYMjaPDmuKiIiIZIiKMxEREZEMUXGWnF+n\n3YAKK3o+KH5G5cs/Zcy3ImeLKWMz6JwzERERkQxRz5mIiIhIhqg4EyljZpZ2G0R2RvuoZJ320bZT\ncSbNZmb7mVnR95mi5ys07aPFUOTX0MyGpN0Gyb7C/gEkxcyOM7Mr0m5HJZnZMWb2F+BMCrrPmNln\nzex+4AozOyzt9rS3ou+n2kfzz8w+b2bT025HpZjZ0Wa2EPha2m2pFDP7nJndBlxoZh9Juz2VkNR7\nqQYEtELUZdsJ+ApwIfAR4Eh3n5dqw9pRlLEauASYClzg7neVr/eC7DxmNhq4DrgU2B04EviTu88y\ns07uvj3N9rVW0fdT7aP530cBzKwa+BbwdWAocJC7P2tmVe6+Ld3WtU20j3YGfgYcClzq7veUry/Q\nPno0cBUwAzgY6AnMcfcHCrCPJv5eWshPmJXmwTZgOfBx4GygUL0SUcYtwHbgD/E/PTMbb2ad021d\nuzsamOfuDwL3Am8D55pZT3ffntfzJ4q+n2ofzf8+CuDuW4GXgI8C04FfRctzXZjB+/voZqAbcI+7\n32NmncxsVLw+3Ra2q6OB+939fwmvYQ/gdDOrzXNhBum8l6o4awEz+4aZ3WBmZ0aLHnP3One/Aag1\nszOi7XL7ey3LeFa06HpgkJn9xswWAd8BbgROj7bP3T+FsoxfjRbNASabWW93/xewBVhHyJq7N9Ci\n76faRwuzj15tZl+IFj3g7hvd/WfAADObFm2XyyK7LN8Xo0VXAOPN7BrgGWCmmf3azD6dXivbponX\n8E/AoWbW1d1XARuBKkJvUy6l+V6ayzfnNJjZacA04E7gy2b2XWDvsk1mANOjN89cfkpolPEkM7sY\n2ATcA+wGnAh8Plp/vJkNzeE/hdMoZTzZzC4CVgAPA781s3mE1/VqoI+Z1abU1FYp+n6qfTTf+6gF\n5wFfBBYAl0V5e5dtNh34MUDUM5obTeS71MzOcPdXCPvoR6N104DFwBQz65dag1thB6/hqcBS4C3g\ndjObQzj8fi+wex4/CKb9Xpq7X1iKjgJ+GHXZfgvoCpwUr3T3PwJLgLPMrIeZnZhOM9ukccYuwH9E\n50ic5e5Lo390zwPvEj69501Tr+Mp7n4uoav6cnf/CuFTX1d3X59eU1ul6Pup9tEc76PRa3MEcLG7\n/wE4DxgFfLpsm7uBl83sfHj/XKZc2FE+M/uCu/8C+JK7v+TudcCzhAJmQ3otbrkmMk4HDiS8jmcC\n3weuifbRzcBeefwgSMrvpSrOdqGs4v8rMBnA3RcATwKDreGoqQuAHwDLgD2SbGdb7CTjfGAvMzus\n0T+AU4Ea4J+JNrQNdpFxXzP7pLu/7u6zo+0+C7ySfEtbp+j7qfbR/O2jjQ8nl+VbAIwHiP7xvQx8\nzMz2K9v868CPzOxtIJNTT7Qg3xLgIDPbz93ry55yDKEw25hAc1ulmRn/SHgNxwD7uPtf3f2BaLvR\nwF8Sam67yMp7qYqzRszsY2bWNX5cVvHPBzqZ2YTo8WJCF+7g6HnDgF8Suq4Pij4lZVILM66klPEE\nM3uO0LX7dXfP8ptKSzMOip43wcweA/YlnMuUSWZ2mJntEz8u2n7awnx53UdbmjFX+yihOH5fWb7l\nQA8zGxk9fowwsq8HgJkdCNxAOJx0kLvfnExzW6y1+b5kZosJI/6+l/FepZZk3D36wswmmdlThIx3\nJtTWVjGzqujWIDvvpSrOImZ2gJk9AcwE+pYtj39Hy4AXgC9aGOL9BqFS3jNa/x7wn+5+vLuvTK7l\nzdeGjHtF618Gvubup7j7Owk2vdnaIeMK4Gx3n+Luq5NrefOY2UFm9jDwKOENP15eiP20DfnytI+2\nNeMKsr2PjjWzO4FrzexTZf/8qqNNngK2AceYWbW7v0joHRsTrV9DyHdiRvfRtuZ7jfDB4ZToxPnM\naUPGg6P1ywh/hye4eyZ7r81snJndAJxnZrvH56aWZUz1vVTFWcnFhOH4U9z9TQgVdVkVXQfMI5x0\nfI2FUUS9CW8kuPs/3H1ZCu1uidZmXA3g7ovc/ckU2t0Sbc34uru/kEK7d8rMOpvZr4BfAz8HHgIO\nj9blfj9th3yZ30fbMWMm91EAMzuc0JtwF2F6jJOB3hbmudoK4O7LgaeBYYQ5oyAM6ngtWv93d1+U\ncNObpZ3yPekZnmuwjRlXROuXufszyba8+aLesP8mfEAaDHzXzD4F70/tAim/l3b44szCnDP7APUe\nhnHHs433Aix6PBP4H0KlPIPwAs2LHme1y/19yliIjF2Ax4Hx7n4/4Y1zePSpdRuAmV2G8mVZR8h4\nAPC0u/8OuJUwAWt9XHia2UwzuxFYSChQD7Ewa/5aQrGadUXPBx0j4xhgvrv/nnCUZSAw1cwGQjb+\nV1TvepPiMbOxwFp3f9nDBI6rCHPQTCaMNqkB3gGWmNnvCeevfDf6tICZnQ7Uehhxk0nKmP+M5fmA\n9dGbZawK2ObuW6NzJUYSzkG60MOwfeXLgKJnbJQPQvF5qZmtJIwsXQL80sweAv5O+Buc4e4roudP\nA6rd/d3EG98MRc8HHTbjS4RRtIPdfaWZ1QP9gGPNbC4hY7p/h+7eYb6AXsADhO7Ki6Nfdrzue4TJ\nAT8fPZ5AmKNlXNk2ndLOoIzFz7ijfIQewE7R/WGEwrN3vE75svNV9IxN5Otetu4Q4CbghOjxGYQT\n/EcpX3a+OnJG4N+AXxDmDrwTuBv4NnB+o+enlrGjHdasJXS7nhvdn1C27n7CiX59oscLCJdI2Qjh\nsJlne1RNTBnzn7HJfB5st3Di+Ipom4nxOlC+DCl6xsb5xscr3P0poD/ROVaE83p6EU1ronyZ0REz\nxn+HLxPmLvsBcIe7TyGMxjwifmLaGQtfnJnZKWY2MRqN8SbhZNzbCf+sP2FmQwDc/XlC5XyOhRmb\nTyYcZohP/svsjqiM+c/YjHzx8G2LMsTThMRFZ+Nh4JlS9HxQ/IwtyNeFcCmfs6OnHkX4sLQRlC9N\nysghcUZ33+zuc9z9tuipo4E/xt8n7YyFLM4sGGThEhKnEmb1vc7M+nm4ftsG4P8IJ/kdGT/P3W8E\nfg9cCpwAnOnuryceoBmUMf8ZW5PP3d3CyL56wiGysfHydFLsWNHzQfEztjDfUQDuvgm4D+huZo8D\nUwlTDmRu2oii5wNl3Nn/iui5n7QwoGE84chLNrTlmGgWv4AqLx1TvjW6X004vnxXo23PI4zU6An0\nKFveOe0cyljsjG3I1035svFV9IytzNcLqImW1QB7p52jo+ZTxl3+HcbngQ4GJqWdo/FXYXrOzKza\nzK4CrjKzicB+hEny8DBvyTeAcdG62A1Ad2A2sLysuzOT1+NTxvxnbId8rypfuoqesR3yrTCzIe7+\nL3f/W8LN36Wi5wNlbGbGv5nZh9x9pbs/mHDzd6kQxVn0y19I6LJcDlxBuODxEWZ2CLx/yOBywqGu\n2GcJx9SfA0Z6Bmejjilj/jMqX77zQfEztkO+Zwn53kyw2c1W9HygjC38O3wjwWa3SFHmOdsOXOPu\nvwUws48TLnUyA7gOGG1hdNTdhBdvTw9ztGwEjnb3x9NpdosoY/4zKl++80HxMypfvvOBMhYiYyF6\nzggV9O0WXf+LcMHSoe4+C6gys3M9jLz4EGHSxxUA7n5vHl6kiDLmP6Py5TsfFD+j8uU7HyhjITIW\nojhz9w3uvsmj26/PlQAAAoZJREFUS6AAxwD/iO5/hXCJlPsJI/iegdKw9bxQxvxnVL5854PiZ1S+\nfOcDZaQgGYtyWBOAqIp2wnWy7osW1xFmjR8BvBofR4+OR+eOMuY/o/LlOx8UP6Py5TsfKCM5z1iI\nnrMy2wkXaV0NHBBVzpcA2939Cc/wCY4toIz5z6h8+Vf0jMqXf8qY44yWs2Jylyxc4PRP0ddvPExI\nWijKmH/Kl39Fz6h8+aeM+VXE4uxDwJeBn3iY5bhwlDH/lC//ip5R+fJPGfOrcMWZiIiISJ4V7Zwz\nERERkVxTcSYiIiKSISrORERERDJExZmIiIhIhqg4ExEREckQFWci0iGZ2aVmdv5O1h9nZvsn2SYR\nEVBxJiKyI8cBKs5EJHGa50xEOgwzuwg4Bfg74ULJC4H3gLOA3YDlhAktDwTuj9a9B5wQfYtrgf7A\nBuCr7r40yfaLSMeg4kxEOgQzGw3MAj4BVAPPANcTLvmyJtpmJvCOu//CzGYB97v7H6J1jwBfc/dl\nZvYJ4AfufmTySUSk6KrTboCISELGA3e7+wYAM7svWj4iKsp6Ad2Bhxo/0cy6A4cCd5hZvLhLxVss\nIh2SijMR6UiaOlQwCzjO3Z8zs9OAw5vYphPwrrsfWLmmiYgEGhAgIh3F48AUM6sxsx7A56LlPYC3\nzKwzcFLZ9nXROtx9HfCqmZ0IYMGo5JouIh2JzjkTkQ6jbEDAa8AbwIvAeuA70bJFQA93P83MDgNu\nADYB/w5sB64DBgGdgdvc/fLEQ4hI4ak4ExEREckQHdYUERERyRAVZyIiIiIZouJMREREJENUnImI\niIhkiIozERERkQxRcSYiIiKSISrORERERDJExZmIiIhIhvw/V2ieoqTabLoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = df.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Split into train, dev and test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "num_train = 453\n",
      "num_cv = 151\n",
      "num_test = 151\n",
      "train.shape = (453, 8)\n",
      "cv.shape = (151, 8)\n",
      "train_cv.shape = (604, 8)\n",
      "test.shape = (151, 8)\n"
     ]
    }
   ],
   "source": [
    "# Get sizes of each of the datasets\n",
    "num_cv = int(cv_size*len(df))\n",
    "num_test = int(test_size*len(df))\n",
    "num_train = len(df) - num_cv - num_test\n",
    "print(\"num_train = \" + str(num_train))\n",
    "print(\"num_cv = \" + str(num_cv))\n",
    "print(\"num_test = \" + str(num_test))\n",
    "\n",
    "# Split into train, cv, and test\n",
    "train = df[:num_train]\n",
    "cv = df[num_train:num_train+num_cv]\n",
    "train_cv = df[:num_train+num_cv]\n",
    "test = df[num_train+num_cv:]\n",
    "print(\"train.shape = \" + str(train.shape))\n",
    "print(\"cv.shape = \" + str(cv.shape))\n",
    "print(\"train_cv.shape = \" + str(train_cv.shape))\n",
    "print(\"test.shape = \" + str(test.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Timestamp('2018-04-23 00:00:00'), Timestamp('2018-11-23 00:00:00'))"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test['date'].min(), test['date'].max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'USD')"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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W8WwevK9yn9/1vZV7yU3JbecbkcvzZ7pq/p/FaGH+j+azr2ofKwvbbu11sEYP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\nr702PG/lSuje3YccaahmbuedfWnmw5OIiIhINqhmLgXioUPuuMMH+a0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      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "matplotlib.rcParams.update({'font.size': 14})\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='y-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Predict using Moving Average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE = [1.1982002858600698, 1.3278504407218132]\n",
      "MAPE = [0.5771723671366045, 0.637721537076798]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:21: RuntimeWarning: invalid value encountered in less\n",
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:6: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>volume</th>\n",
       "      <th>month</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2015-11-25</td>\n",
       "      <td>107.510002</td>\n",
       "      <td>107.660004</td>\n",
       "      <td>107.250000</td>\n",
       "      <td>107.470001</td>\n",
       "      <td>101.497200</td>\n",
       "      <td>1820300</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2015-11-27</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>107.760002</td>\n",
       "      <td>107.220001</td>\n",
       "      <td>107.629997</td>\n",
       "      <td>101.648300</td>\n",
       "      <td>552400</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015-11-30</td>\n",
       "      <td>107.779999</td>\n",
       "      <td>107.849998</td>\n",
       "      <td>107.110001</td>\n",
       "      <td>107.169998</td>\n",
       "      <td>101.213867</td>\n",
       "      <td>3618100</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2015-12-01</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>108.209999</td>\n",
       "      <td>107.370003</td>\n",
       "      <td>108.180000</td>\n",
       "      <td>102.167740</td>\n",
       "      <td>2443600</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-12-02</td>\n",
       "      <td>108.099998</td>\n",
       "      <td>108.269997</td>\n",
       "      <td>106.879997</td>\n",
       "      <td>107.050003</td>\n",
       "      <td>101.100533</td>\n",
       "      <td>2937200</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date        open        high         low       close   adj_close  \\\n",
       "0 2015-11-25  107.510002  107.660004  107.250000  107.470001  101.497200   \n",
       "1 2015-11-27  107.589996  107.760002  107.220001  107.629997  101.648300   \n",
       "2 2015-11-30  107.779999  107.849998  107.110001  107.169998  101.213867   \n",
       "3 2015-12-01  107.589996  108.209999  107.370003  108.180000  102.167740   \n",
       "4 2015-12-02  108.099998  108.269997  106.879997  107.050003  101.100533   \n",
       "\n",
       "    volume  month  \n",
       "0  1820300     11  \n",
       "1   552400     11  \n",
       "2  3618100     11  \n",
       "3  2443600     12  \n",
       "4  2937200     12  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RMSE = []\n",
    "mape = []\n",
    "for N in range(1, Nmax+1): # N is no. of samples to use to predict the next value\n",
    "    est_list = get_preds_mov_avg(train_cv, 'adj_close', N, 0, num_train)\n",
    "    \n",
    "    cv['est' + '_N' + str(N)] = est_list\n",
    "    RMSE.append(math.sqrt(mean_squared_error(est_list, cv['adj_close'])))\n",
    "    mape.append(get_mape(cv['adj_close'], est_list))\n",
    "print('RMSE = ' + str(RMSE))\n",
    "print('MAPE = ' + str(mape))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'RMSE')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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OVtXrkqRemjttjPrGRTodDUGEogIAAIB/21tWqzmLc7Vywz51jw7TU9eN0xVj+8kYVlHQ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\nAAAAAoeiAgAAACBw/h/8FLHpntp2OgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 960x640 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot RMSE versus N\n",
    "plt.figure(figsize=(12, 8), dpi=80)\n",
    "plt.plot(range(1, Nmax+1), RMSE, 'x-')\n",
    "plt.grid()\n",
    "plt.xlabel('N')\n",
    "plt.ylabel('RMSE')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'MAPE')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FgBDCI8C1McbXYowv7v/411shhFqgHPj6/tdfDHw2hFDDvssWzwT+uxFyS5Ik6Shas30v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\nTQ+N6WH3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 960x640 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot MAPE versus N. Note for MAPE smaller better. \n",
    "plt.figure(figsize=(12, 8), dpi=80)\n",
    "plt.plot(range(1, Nmax+1), mape, 'x-')\n",
    "plt.grid()\n",
    "plt.xlabel('N')\n",
    "plt.ylabel('MAPE')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set optimum N\n",
    "N_opt = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Predictions on dev set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'USD')"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VotA4/hqUJAmzhwYt50CWKDtT5qQ05yyWEnQXNfbroh0Z11z3hpRdnE1CSgJD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\nkSimYE5EyMuDzMxw50JERBoipMGcMWakMeYdY8x6Y4w1xlxa5fxZxpj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lN90Er7wCGzb4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\n/wEmzIaHfSWpnQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "matplotlib.rcParams.update({'font.size': 14})\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='y-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N1', style='r-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N2', style='m-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N=1', 'predictions with N=2'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Zoom in to dev set')"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Iy/XDcT1nxqXAC+c8Vxyyc/VlZc63ZWbqM7rLHiszq1gDCjCTRwC5BJCHP7ll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\nXGqtLfPvVluzl9ob1N60gtobx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      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='bx-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='yx-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='gx-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N1', style='rx-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N2', style='mx-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N=1', 'predictions with N=2'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "ax.set_xlim([date(2017, 11, 1), date(2017, 12, 30)])\n",
    "ax.set_ylim([127, 137])\n",
    "ax.set_title('Zoom in to dev set')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Final Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE = 1.127\n",
      "MAPE = 0.565%\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:21: RuntimeWarning: invalid value encountered in less\n",
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    },
    {
     "data": {
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>volume</th>\n",
       "      <th>month</th>\n",
       "      <th>est_N1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>604</th>\n",
       "      <td>2018-04-23</td>\n",
       "      <td>137.779999</td>\n",
       "      <td>138.160004</td>\n",
       "      <td>136.809998</td>\n",
       "      <td>137.449997</td>\n",
       "      <td>136.219604</td>\n",
       "      <td>2033700</td>\n",
       "      <td>4</td>\n",
       "      <td>136.269150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>605</th>\n",
       "      <td>2018-04-24</td>\n",
       "      <td>138.100006</td>\n",
       "      <td>138.190002</td>\n",
       "      <td>134.860001</td>\n",
       "      <td>135.800003</td>\n",
       "      <td>134.584366</td>\n",
       "      <td>3053500</td>\n",
       "      <td>4</td>\n",
       "      <td>136.219604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>606</th>\n",
       "      <td>2018-04-25</td>\n",
       "      <td>135.770004</td>\n",
       "      <td>136.250000</td>\n",
       "      <td>134.610001</td>\n",
       "      <td>135.949997</td>\n",
       "      <td>134.733032</td>\n",
       "      <td>2275400</td>\n",
       "      <td>4</td>\n",
       "      <td>134.584366</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>607</th>\n",
       "      <td>2018-04-26</td>\n",
       "      <td>136.520004</td>\n",
       "      <td>137.679993</td>\n",
       "      <td>136.250000</td>\n",
       "      <td>137.240005</td>\n",
       "      <td>136.011490</td>\n",
       "      <td>1284600</td>\n",
       "      <td>4</td>\n",
       "      <td>134.733032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>608</th>\n",
       "      <td>2018-04-27</td>\n",
       "      <td>137.539993</td>\n",
       "      <td>137.740005</td>\n",
       "      <td>136.800003</td>\n",
       "      <td>137.330002</td>\n",
       "      <td>136.100677</td>\n",
       "      <td>1133600</td>\n",
       "      <td>4</td>\n",
       "      <td>136.011490</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          date        open        high         low       close   adj_close  \\\n",
       "604 2018-04-23  137.779999  138.160004  136.809998  137.449997  136.219604   \n",
       "605 2018-04-24  138.100006  138.190002  134.860001  135.800003  134.584366   \n",
       "606 2018-04-25  135.770004  136.250000  134.610001  135.949997  134.733032   \n",
       "607 2018-04-26  136.520004  137.679993  136.250000  137.240005  136.011490   \n",
       "608 2018-04-27  137.539993  137.740005  136.800003  137.330002  136.100677   \n",
       "\n",
       "      volume  month      est_N1  \n",
       "604  2033700      4  136.269150  \n",
       "605  3053500      4  136.219604  \n",
       "606  2275400      4  134.584366  \n",
       "607  1284600      4  134.733032  \n",
       "608  1133600      4  136.011490  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "est_list = get_preds_mov_avg(df, 'adj_close', N_opt, 0, num_train+num_cv)\n",
    "test['est' + '_N' + str(N_opt)] = est_list\n",
    "print(\"RMSE = %0.3f\" % math.sqrt(mean_squared_error(est_list, test['adj_close'])))\n",
    "print(\"MAPE = %0.3f%%\" % get_mape(test['adj_close'], est_list))\n",
    "test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ejtz1cw3btkFGRoX0gW5Woy2KPOX/OZCWOSGEECJyuN2+WZoDBy6rcE0pM1C3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\niYiIiBSx/w+Tmd5Bh3G1bQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='y-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='est_N1', style='r-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N_opt=1'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "matplotlib.rcParams.update({'font.size': 14})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Zoom in to test set')"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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15VSGwRyAq4Mrq3qswsPRg/aL2rPvzD74+GOoW5ek9ev4ZN0HRsa7aI/U7Vpy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\npky5rQ23b9/ORx99REREBLN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p/B8c7RxvnThyxPiag8FcysK6k5qBQ6sn+P3s75Tf9gdU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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='bx-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='yx-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='gx-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='est_N1', style='rx-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N_opt=1'], loc='upper left')\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "ax.set_xlim([date(2018, 4, 23), date(2018, 11, 23)])\n",
    "ax.set_ylim([130, 155])\n",
    "ax.set_title('Zoom in to test set')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(130, 155)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KigK0rtx79+7h5ubG+++/j7+//3O3eD2sd+/eHDp0CE9PTwYOHMi6desydGc/Tvo6Ajg5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\nor1VjgHAwQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time, only for test set\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "matplotlib.rcParams.update({'font.size': 14})\n",
    "\n",
    "ax = test.plot(x='date', y='adj_close', style='gx-', grid=True)\n",
    "ax = test.plot(x='date', y='est_N1', style='rx-', grid=True, ax=ax)\n",
    "ax.legend(['test', 'predictions using last value'], loc='upper left')\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "ax.set_xlim([date(2018, 4, 23), date(2018, 11, 23)])\n",
    "ax.set_ylim([130, 155])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Save as csv\n",
    "test_last_value = test\n",
    "test_last_value.to_csv(\"./out/test_last_value.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Findings\n",
    "* On the test set, the RMSE is 1.127 and MAPE is 0.565% using last value prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>method</th>\n",
       "      <th>RMSE</th>\n",
       "      <th>MAPE(%)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Last Value</td>\n",
       "      <td>1.127</td>\n",
       "      <td>0.565</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Moving Average</td>\n",
       "      <td>1.270</td>\n",
       "      <td>0.640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Linear Regression</td>\n",
       "      <td>1.420</td>\n",
       "      <td>0.707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>XGBoost</td>\n",
       "      <td>1.162</td>\n",
       "      <td>0.580</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>LSTM</td>\n",
       "      <td>1.164</td>\n",
       "      <td>0.583</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              method   RMSE  MAPE(%)\n",
       "0         Last Value  1.127    0.565\n",
       "1     Moving Average  1.270    0.640\n",
       "2  Linear Regression  1.420    0.707\n",
       "3            XGBoost  1.162    0.580\n",
       "4               LSTM  1.164    0.583"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compare various methods\n",
    "results_dict = {'method': ['Last Value', 'Moving Average', 'Linear Regression', 'XGBoost', 'LSTM'],\n",
    "                'RMSE': [1.127, 1.27, 1.42, 1.162, 1.164],\n",
    "                'MAPE(%)': [0.565, 0.64, 0.707, 0.58, 0.583]}\n",
    "results = pd.DataFrame(results_dict)\n",
    "results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read all dataframes for the different methods\n",
    "test_last_value = pd.read_csv(\"./out/test_last_value.csv\", index_col=0)\n",
    "test_last_value.loc[:, 'date'] = pd.to_datetime(test_last_value['date'],format='%Y-%m-%d')\n",
    "\n",
    "test_mov_avg = pd.read_csv(\"./out/test_mov_avg.csv\", index_col=0)\n",
    "test_mov_avg.loc[:, 'date'] = pd.to_datetime(test_mov_avg['date'],format='%Y-%m-%d')\n",
    "\n",
    "test_lin_reg = pd.read_csv(\"./out/test_lin_reg.csv\", index_col=0)\n",
    "test_lin_reg.loc[:, 'date'] = pd.to_datetime(test_lin_reg['date'],format='%Y-%m-%d')\n",
    "\n",
    "test_xgboost = pd.read_csv(\"./out/test_xgboost.csv\", index_col=0)\n",
    "test_xgboost.loc[:, 'date'] = pd.to_datetime(test_xgboost['date'],format='%Y-%m-%d')\n",
    "\n",
    "test_lstm = pd.read_csv(\"./out/test_lstm.csv\", index_col=0)\n",
    "test_lstm.loc[:, 'date'] = pd.to_datetime(test_lstm['date'],format='%Y-%m-%d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(131, 151.5)"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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du5O3N49TwxJQ0NPPrQ/PPQcjR4JbYxWLt+zngvcbLDn2WbX13OvhSbrKleb3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\n/w9tiF4z/TIimwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot all methods together to compare\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "matplotlib.rcParams.update({'font.size': 14})\n",
    "\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True)\n",
    "ax = test_last_value.plot(x='date', y='est_N1', style='r-', grid=True, ax=ax)\n",
    "ax = test_mov_avg.plot(x='date', y='est_N2', style='b-', grid=True, ax=ax)\n",
    "ax = test_lin_reg.plot(x='date', y='est_N5', style='m-', grid=True, ax=ax)\n",
    "ax = test_xgboost.plot(x='date', y='est', style='y-', grid=True, ax=ax)\n",
    "ax = test_lstm.plot(x='date', y='est', style='c-', grid=True, ax=ax)\n",
    "ax.legend(['test', \n",
    "           'predictions using last value', \n",
    "           'predictions using moving average', \n",
    "           'predictions using linear regression',\n",
    "           'predictions using XGBoost',\n",
    "           'predictions using LSTM'], loc='lower left')\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "# ax.set_xlim([date(2018, 4, 23), date(2018, 11, 23)])\n",
    "ax.set_xlim([date(2018, 7, 1), date(2018, 11, 23)])\n",
    "ax.set_ylim([131, 151.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
